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Finding the Fourth Proportional to 405,322.52, 559,054.92 and 284,490.68

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Solution

The fourth proportional to 405,322.52, 559,054.92 and 284,490.68 is: 392,393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,322.52 : 559,054.92 = 284,490.68 : x
  2. Step 2: Convert to fraction form
    405,322.52/559,054.92 = 284,490.68/x
  3. Step 3: Cross multiply
    405,322.52x = 559,054.92 × 284,490.68
  4. Step 4: Simplify right side
    405,322.52x = 159,045,914,348.15
  5. Step 5: Solve for x
    x = 159,045,914,348.15/405,322.52
  6. Step 6: Final answer
    x = 392,393.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.